SOLUTION: What is the domain and range of the function f(x)= square root 8-2x?

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Question 750755: What is the domain and range of the function f(x)= square root 8-2x?

Answer by timvanswearingen(106) About Me  (Show Source):
You can put this solution on YOUR website!
Domain is possible x-values and range is possible y-values or function values (f(x)).
So let's look at the function:
f%28x%29=+sqrt%288-2x%29
Unless we are dealing with imaginary numbers, which I'm going to assume we're not, then:
You can not take the square root of a negative number, so 8-2x has to be greater than or equal to zero. Solving that expression will show that x is less than or equal to 4. Therefore, the domain is negative infinity to 4, and the range is 0 to infinity.